2019/09/20 by Armando Bazzani, Bazzani, A., M. Giovannozzi +9 · 1 citation
Engineering · #Accelerator Physics (physics.acc-ph) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.1909.09516
openalex publication_date 2019/09/20 · openalex created_date 2019/09/26 · openalex updated_date 2026/07/28
Determining a model for the time scaling of the dynamic aperture of a circular accelerator is a topic of strong interest and intense research efforts in accelerator physics. The motivation arises in the possibility of finding a method to reliably extrapolate the results of numerical simulations well beyond what is currently possible in terms of CPU time. In earlier work, a proposal for a model based on Nekhoroshev theorem and Kolmogorov--Arnold--Moser theory was made. This model has been studied in detail and proved successful in describing the evolution of the dynamic aperture in numerical simulations, however, a number of shortcomings had been identified and new models are proposed in this paper, which solve the observed issues. The new models have been benchmarked against numerical simulations for a simple system, the 4D Hénon map, as well as a realistic, non-linear representation of the beam dynamics in the LHC at 6.5 TeV providing in both cases excellent results.